A1 5.1-5.3 Solving linear inequalities

What should you do first when solving an inequality?

• Subtract the same number from both sides

• Isolate the variable on one side

• Multiply both sides by a negative number

• Add the same number to both sides

What happens to the inequality sign when you divide both sides by a negative number?

• It becomes an equal sign

• It stays the same

• It disappears

• It flips direction

How do you handle fractions when solving inequalities?

• Ignore them

• Multiply everything by the denominator to clear them

• Add the fractions together

• Divide by the numerator

What should you do if the variable cancels out on both sides of the inequality?

• Multiply both sides by zero

• Divide both sides by a negative number

• Check if the remaining statement is true or false

• Add a new variable

What does it mean if the remaining statement after canceling out the variable is always true?

• There is no solution

• There are infinitely many solutions

• The variable is zero

• The inequality is invalid